Ph.D. Students Advised

41.	William Barham, “On Hamiltonian n Structure Preserving Discretizations for Plasma and Nonlinear Wave Models.” Conferred 2024.
40.	Ruifeng Xie, “Experimental Observation and Study of Core Transport Barrier in DIII-D Discharges with Dominant Electron Heating.” Conferred 2023. (co-advisor Dr. Max Austin, University of Texas, Austin)
39.	Jeffrey Heninger, “Hamiltonian Magnetic Monopoles and An Integral Transform for Kinetic Plasmas.” Conferred 2020.
38.	Benjamin Stephens, “Abrupt Climate Change and Rainfall Partitioning in Atmospheric Models.” Conferred 2019. (co-advisor Dr. Charles Jackson, Jackson School)
37.	Tess Bernard, “Discontinuous Galerkin Modeling of Plasma Turbulence in a Simple Magnetized Torus.” Conferred 2019. (co-advisor Dr. Greg Hammett, Princeton Plasma Physics Laboratory)
36.	David Gogichaishvili, “Linear and Nonlinear Processes in MHD shear Flows: Their Special Nature, Interplay and Consequences.” Conferred 2018. (co-advisor Prof. W. Horton, University of Texas, Austin)
35.	George Miloshevich, “Hamiltonian Description of Hall and Sub-Electron Scales in Collisionless Plasmas with Reduced Fluid Models.” Conferred 2018.
34.	Frank Moonyoung Lee, “Determination of the Energy Flux of Internal Gravity Waves.” Conferred 2017.
33.	Akarsh Simha, “Brownian Motion in Liquids: Theory and Experiment.” Conferred 2017.
32.	Christopher Timothy Curry, “Transport in Higher Dimensional Phase Spaces.” Conferred 2016.
31.	Ioannis Keramidas Charidakos, “Applications of Hamiltonian Theory to Plasma Models.” Conferred 2016. (co-advisor F. Waelbroeck, University of Texas, Austin)
30.	Ehab Ali Hassan, “Plasma Turbulence in the Equatorial Electrojet: Observations, Theories, Models, and Simulations.” Conferred 2015. (co-advisor Prof. W. Horton, University of Texas, Austin)
29.	Eric D'Avignon, “Aspects of Relativistic Hamiltonian Physics.” Conferred 2015.
28.	Jingfei Ma, “The Macro- and Micro-Instabilities in the Pedestal Region of the Tokamak.” Conferred 2015. (co-advisor Prof. W. Horton, University of Texas, Austin)
27.	Manasvi Lingam, “Hamiltonian and Action Principle Formulations of Plasma Fluid Models.” Conferred 2015.
26.	Xiangrong Fu, “Turbulent Particle and Thermal Transport in Magnetized Plasmas." Conferred 2013. (co-advisor Prof. W. Horton, University of Texas, Austin)
25.	George Isaac Hagstrom, “Infinite-Dimensional Hamiltonian Systems with Continuous Spectra: Perturbation Theory, Normal Forms, and Landau Damping.” Conferred 2011.
24.	Takahide Okabe, “Spatially-Homogeneous Vlasov-Einstein Dynamics.” Conferred 2008.
23.	Kathrin Fuchss, “Periodic Orbit Bifurcations and Breakup of Shearless Invariant Tori in Nontwist Systems.” Conferred 2006.
22.	Sungwhan Jung, “Statistics of Turbulence in a Rapidly Rotating System.” Conferred 2005. (co-advisor Prof. H. Swinney, University of Texas, Austin)
21.	Evstati G. Evstatiev, “A Model for Multi-Wave Beam Plasma Interaction.” Conferred 2004.
20.	Todd Krause, “Darwinian Evolution: the Mutation of a Weakly Relativistic Lagrangian.” Conferred 2004.
19.	Amit Apte, “Numerical Studies of the Standard Nontwist Map and a Renormalization Group Framework for Breakup of Invariant Tori.” Conferred 2004.
18.	Scott Charles Noble, “A Numerical Study of Relativistic Fluid Collapse.” Conferred 2003. (co-advisor Prof. M. Choptuik, University of British Columbia, Canada)
17.	Christopher Jones, “Closures of the Vlasov-Poisson System.” Conferred 2003.
16.	Jason Ventrella, “A Numerical Treatment of Spin-1/2 Fields Coupled to Gravity.” Conferred 2002. (co-advisor Prof. M. Choptuik, University of British Columbia, Canada)
15.	Alex Wurm, Renormalization Group Applications in Area-Preserving Nontwist Maps and Relativistic Quantum Field Theory.” Conferred 2002. (co-advisor Prof. C. Dewitt-Morette, University of Texas, Austin)
14.	Vivek Narayanan, “Some Aspects of the Geometry of Poisson Dynamical Systems.” Conferred 2002.
13.	Tom Yudichak, “Hamiltonian Methods in Weakly Nonlinear Vlasov-Poisson Dynamics.” Conferred 2001.
12.	Ethan Honda, “Resonant Dynamics within the Nonlinear Klein-Gordon Equation: Much ado about Oscillons.” Conferred 2000. (co-advisor Prof. M. Choptuik, University of British Columbia, Canada)
11.	Jean-Luc Thiffeault, “Classification, Casimir Invariants, and Stability of Lie-Poisson Systems.” Conferred 1998.
10.	Nikhil Padhye, “Topics in Lagrangian and Hamiltonian Fluid Dynamics: Relabeling Symmetry and Ion-Acoustic Wave Stability.” Conferred 1998.
9.	Bradley Shadwick, “On the Hamiltonian Structure of the Linearized Maxwell-Vlasov System.” Conferred 1995.
8.	Raul Acevedo, “Lie Group Analysis of Plasma-Fluid Equations.” Conferred 1995
7.	Diego Del-Castillo-Negrete, “Dynamics and Transport in Rotating Fluids and Transition to Chaos in Area Preserving Nontwist Maps.” Conferred 1994.
6.	Christopher Kueny, “Nonlinear Instability and Chaos in Plasma Wave-Wave Interactions.” Conferred 1993.
5.	Leon Ofman, “Resistive Magnetohydrodynamic Studies of Tearing Mode Instabilities with Equilibrium Shear Flow and Magnetic Reconnection.” Conferred 1992.
4.	Xiao Ling Chen, “Magnetohydrodynamic Studies of Ideal and Resistive Tearing Modes with Equilibrium Shear Flow.” Conferred 1991.
3.	Qi Chen, “Resonances, the Devil's Staircase and Transport in Area-Preserving Maps." Conferred 1989.
2.	Hungtae Kook, “Chaotic Transport in Hamiltonian Dynamical Systems with Several Degrees of Freedom.” Conferred 1989.
1.	Chi-Tien Hsu, “Reduced Fluid Descriptions of Toroidally Confined Plasma with Finite Temperature Effects.” Conferred 1986.

Ph.D. Students Aided

6.	Camilla Bressan, “Metriplectic Relaxation for Calculation Equilibria: Theory and Structure-Preserving Discretization.” Conferred 2003, Technical University of Munich, Garching, Germany.
5.	Ross Heath, “Analysis of the Discontinuous Galerkin Method Applied to Collisionles Plasma Physics.” Conferred 2007, University of Texas at Austin.
4.	Jefferson Portela, “Chaotic Transport in Plasmas.” Conferred 2007, University of Sao Paulo, Brazil.
3.	Alexander R. R. Casti, “Double-Diffusive Oscillations and Explosive Gravitational Instability of Interpenetrating Fluids.” Conferred 1998, Columbia University.
2.	Xiang Ning Su, “Drift Wave Coherent Vortex Structures in Inhomogeneous Plasmas." Conferred 1991, University of Texas at Austin.
1.	Taina Kurki-Suonio, “Non-linear Self-focusing of Optical Beams in Plasmas.” Conferred 1989, University of Texas at Austin.

Masters Students Advised

3.	Yurun Liu, “Nontraditional Approximation in Geophysical Fluid Dynamics.” Conferred 2009, University of Texas at Austin.
2.	Peter Andrew Eschbacher, “Quantifying Stickiness in 2D Area-Preserving Maps by Means of Recurrence Plots." Conferred 2009, University of Texas at Austin.
1.	Nikhil Padhye, “Statistical Mechanics of 2-D Fluids.” Conferred 1994, University of Texas at Austin.

Undergraduate Students Advised

10.	Michael Updike, “Metriplectic Heavy Top: An Example of Geometric Dissipation,” 2023, University of Texas at Austin.
9.	Zel Hurewitz, “High-resolution, Earth-like Rayleigh Number Viscoplastic Spherical Convection Models,” 2019, University of Texas at Austin.
8.	James Dix, “Extra invariants in Hamiltonian Systems,” 2017, University of Texas at Austin.
7.	Santiago Jose Benavides, “Riemann Ellipsoids: Hamiltonian Formulation and Stability Analysis,” 2015, University of Texas at Austin.
6.	Blagoje Djordjevic, “Internal Waves and Tidal Conversion from a Finite Submarine Ridge,” 2013, University of Texas at Austin.
5.	Zachary Stone, “Self-Consistent Chaos and the Homoclinic Tangle in the Vlasov-Poisson System,” 2012, University of Texas at Austin.
4.	Ilya Osipenkov, “Diffusion in Chaotic Systems,” 2000, University of Texas at Austin.
3.	David Strozzi, Harvard University, Department of Energy Summer Intern at University of Texas at Austin, 1997.
2.	Peter Abbamonte, “Constructing Symplectic Maps for Application to Magnetostatics and Hamiltonian Mechanics," 1993, University of Texas at Austin.
1.	John Hartman, “General Energy Expressions for Perturbations of Two-Dimensional Inviscid Incompressible Fluid Equilibria: Negative Energy Modes,” 1991, University of Texas at Austin.